CFA Level 2 | Fixed Income: Bootstrapping Spot Rates from Par Rates & No-Arbitrage Valuation

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  • Опубликовано: 18 окт 2024

Комментарии • 55

  • @alliwant8383
    @alliwant8383 3 года назад +6

    Superb explanation. Simple and clear. Thank you!

    • @FabianMoa
      @FabianMoa  3 года назад +1

      Glad it was helpful!

  • @Sunil-ne8mx
    @Sunil-ne8mx 9 месяцев назад +1

    Thank you for the simple and clear explanation.

  • @秋様的成长日记
    @秋様的成长日记 4 года назад +1

    this video is amazing, it suddenly came to my mind what is "no arbitrage", thanks

  • @argos2872
    @argos2872 Год назад

    This video is amazing suddenly I undestood a lot of books about this

  • @mauro6015
    @mauro6015 3 года назад +1

    Thanks, it best. Come on CFA 2

  • @MURILAOBONITAO
    @MURILAOBONITAO 3 года назад +1

    Great content Fabian, thanks for sharing and all the best on your business!

  • @MrJassu2
    @MrJassu2 4 года назад +1

    Thanks for the explanation in 1 single simple vdo...

    • @FabianMoa
      @FabianMoa  4 года назад

      You're most welcome, Jasdeep

    • @ayoolaoladotun3246
      @ayoolaoladotun3246 4 года назад

      Great Video Fabian. Please can you describe how to work out the spot rate from par rate. I see the description but I need to see the work out. Looking forward to your response

    • @FabianMoa
      @FabianMoa  4 года назад +1

      Hi Ayoola, from minute 03:00 onwards, I showed the workings. Might I ask what work out you're asking about?

    • @ayoolaoladotun3246
      @ayoolaoladotun3246 4 года назад +1

      Fabian Moa Thanks Fabian.... I eventually got the logic. I was looking for a smarter way to derive the spot rate using TVM on my calculator and avoid solving quadratic equations

  • @johnnywong9652
    @johnnywong9652 Год назад

    very concise

  • @alikhalifa1988
    @alikhalifa1988 Год назад

    Superb explanation.

  • @EduardoGallizzi
    @EduardoGallizzi 11 месяцев назад

    Hi, Fabian. Do you have a fully online CFA L3 program? I'm not in Malaysia/Singapore.

  • @paulinechiu7462
    @paulinechiu7462 3 года назад +1

    best explanation ever! thank you so much

  • @Anna-mj6hp
    @Anna-mj6hp 3 года назад +2

    Really well explained! Thanks :)

  • @kartikshetty3135
    @kartikshetty3135 2 года назад

    What is the conceptual interpretation of par rates? Also, why is the spot rate higher than par rate? Refer 3.01 m - here why is the first year coupon rate discounted at 4%, shouldn't it be at the 2year spot rate?

  • @Jean-JacquesSimonis
    @Jean-JacquesSimonis 7 месяцев назад

    How can I bootstrap in excel, while doing it efficiently as a have a large data set where I have to calculate about 120 periods of spot rates?

    • @FabianMoa
      @FabianMoa  6 месяцев назад +1

      VBA would be a more efficient way of doing it.

  • @sajadahmad333
    @sajadahmad333 3 года назад

    Hi, Might be a dumb question but the bootstrapping looked like you are deriving par rates from spot rates not otherwise.

    • @FabianMoa
      @FabianMoa  3 года назад +1

      Really? It is actually deriving the spot rates from the par rates

  • @FRESHENDEAVOUR
    @FRESHENDEAVOUR 3 года назад

    Thanks for this video - where did you get the par value from?

    • @FabianMoa
      @FabianMoa  3 года назад

      It's arbitrary. You can use any value you want, such as $100 or 1000 or 500

    • @FRESHENDEAVOUR
      @FRESHENDEAVOUR 3 года назад

      @@FabianMoa thank you!

    • @FRESHENDEAVOUR
      @FRESHENDEAVOUR 3 года назад

      @@FabianMoa please could I also ask how you would / should compute this in Excel? e.g. how to set it out re bootstrapping?

    • @FabianMoa
      @FabianMoa  3 года назад

      ruclips.net/video/YA4MwK2WOtU/видео.html
      Watch from 04:20

  • @clem2248
    @clem2248 3 года назад +1

    Thanks :) It helped me a lot

  • @谭婉芳
    @谭婉芳 2 года назад +1

    hi! Is the spot rate the same as zero-coupon rate?

    • @FabianMoa
      @FabianMoa  2 года назад +1

      Yes, the spot rate is also called the zero coupon bond yield

  • @makiolo
    @makiolo 2 года назад

    Is same forward rate and par rate ? Both start in future date ...

    • @FabianMoa
      @FabianMoa  2 года назад

      Nope. Forward rate starts at a future date. Par rate starts today, just like spot rate

  • @ericgregorious7047
    @ericgregorious7047 2 года назад

    Is there a quick way to solve the Spot rate? Cos it seems to me like trial and error?

  • @Ale.A93
    @Ale.A93 3 года назад

    Hey Fabian, do you know how to calculate the last exercise (using spot rates) in HP12c? My problem is with inserting different rates to find the pv

    • @FabianMoa
      @FabianMoa  3 года назад +1

      Hi Alexandre, I'm not proficient with HP12c, can't help there. Sorry

  • @ricardoromeroescobar4631
    @ricardoromeroescobar4631 2 года назад

    Thanks a lot for the simple explanation. Question, how can i compute the two-year forward rate starting from 1 and 2 year from now? if i have the spot rate today s2= 5.2316% the procedure is the same as in f1?

    • @FabianMoa
      @FabianMoa  2 года назад +1

      To get the 2-yr forward rate starting 1 year from now, you would need the
      * 1 year spot rate, S1
      * 3 year spot rate, S3
      f(1,2) = ((1+S3)^3)/(1+S1))^(1/2) - 1
      To get the 2-yr forward rate starting 2 year from now, you would need the
      * 2 year spot rate, S2
      * 4 year spot rate, S4
      f(2,2) = ((1+S4)^4)/(1+S2)^2)^(1/2) - 1

    • @ricardoromeroescobar4631
      @ricardoromeroescobar4631 2 года назад

      @@FabianMoa Thx a lot

  • @johnlin8588
    @johnlin8588 3 года назад

    why dont we need to discount the forward rate to today since it's in the future? eg. at 5:56, the forward rate is 6.4778% - does this not need to be discounted by 4% to get the forward rate in today's/pV terms when buying/selling the bond future?

    • @FabianMoa
      @FabianMoa  3 года назад

      No need to do that. If you are going to buy the bond forward at T = 1, so you just need to know the 1yr fwd rate in 1 year, which is 6.4878%.
      That means a $1 in Year 2 discounted back by 1 year at 6.4778%, or $1/1.064778 = $0.9392 (in Year 1). That is the price you will lock in today (T = 0) to pay in Year 1, if you enter into a 1 year forward contract

    • @johnlin8588
      @johnlin8588 3 года назад

      @@FabianMoa thanks for the explanation. Does this mean that the current 2Y spot rate will also be 6.4778% in 1 year's time (roll down the curve) if the curve does not change (i.e. interest rates remain the same?)

  • @grantkasser9599
    @grantkasser9599 3 года назад +2

    for spot rate for (S2) I am getting 4.97% can someone please help. Thank you!

    • @FabianMoa
      @FabianMoa  3 года назад +3

      Continuing from the workings in the video:
      1.052/(1 + S(2))^2 = 1 - 0.052/1.04
      1.052/(1 + S(2))^2 = 0.95
      S(2) = [1.052/0.95]^(1/2) - 1 = 5.2316%

    • @grantkasser9599
      @grantkasser9599 3 года назад

      thank you so much!!

    • @Bobstaaar
      @Bobstaaar 3 года назад +1

      @@FabianMoa This was very helpful!

  • @Жанна-л7р
    @Жанна-л7р Год назад

    спасибо большое за объяснение👍👍👍

  • @s.m.hassan3887
    @s.m.hassan3887 3 года назад

    i m confused with when we should compound rates ??

    • @FabianMoa
      @FabianMoa  3 года назад

      If they use general terms like yield or effective rates, use compounding.
      If they use LIBOR for eg, use simple interest

  • @yyman9100
    @yyman9100 3 года назад +1

    Hey Fabian, thanks for sharing such a nice video! Like the idea of timeline - i was like die die memorizing it previously 😂

    • @FabianMoa
      @FabianMoa  3 года назад

      Ya. It's easier with the timeline

  • @riteshbhagat4176
    @riteshbhagat4176 Год назад

    It was a feeble explanation and I didn't understand the how the 0.052/1.04 came in there and how did you do it and also the further explanation